\(100 \cdot {\left(\frac{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot n}{i}\right)}^{1}\)
- Started with
\[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}}\]
29.9
- Applied taylor to get
\[100 \cdot \frac{{\left(1 + \frac{i}{n}\right)}^{n} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\left(\frac{1}{2} \cdot {i}^2 + \left(1 + i\right)\right) - 1}{\frac{i}{n}}\]
20.9
- Taylor expanded around 0 to get
\[100 \cdot \frac{\color{red}{\left(\frac{1}{2} \cdot {i}^2 + \left(1 + i\right)\right)} - 1}{\frac{i}{n}} \leadsto 100 \cdot \frac{\color{blue}{\left(\frac{1}{2} \cdot {i}^2 + \left(1 + i\right)\right)} - 1}{\frac{i}{n}}\]
20.9
- Applied simplify to get
\[\color{red}{100 \cdot \frac{\left(\frac{1}{2} \cdot {i}^2 + \left(1 + i\right)\right) - 1}{\frac{i}{n}}} \leadsto \color{blue}{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot \frac{100}{\frac{i}{n}}}\]
10.3
- Applied taylor to get
\[(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot \frac{100}{\frac{i}{n}} \leadsto 100 \cdot \frac{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot n}{i}\]
5.1
- Taylor expanded around 0 to get
\[\color{red}{100 \cdot \frac{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot n}{i}} \leadsto \color{blue}{100 \cdot \frac{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot n}{i}}\]
5.1
- Using strategy
rm 5.1
- Applied pow1 to get
\[100 \cdot \color{red}{\frac{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot n}{i}} \leadsto 100 \cdot \color{blue}{{\left(\frac{(i * \left(\frac{1}{2} \cdot i\right) + i)_* \cdot n}{i}\right)}^{1}}\]
5.1
